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Question: Vector Problems in Maple 17

Question:Vector Problems in Maple 17

mcliffton 10 Maple
vector-calculus
September 27 2013
1
Hello, I have been trying to complete a Maple homework assignment for my Caclulus class. I have been stuck on several problems for several days now and I was wondering if anybody could help me. Here are the questions on the assignment that I am stuck on. I know how to do these problems by hand, but I can't seem to figure out the roper commands to do them in Maple4. Given r(t)=(tsin(Pi(t)))i+(t)j+(tcos(Pi(t)))k over the interval [-2Pi, 2Pi}......    a. Find (dr/dt) at t=(1/3)    b. Find the equation ofthe tangent line to the curve at t.    c. Plot the tangent line together with r(t) over the given interval.    d. Find the length of r(t) on te interval [Pi,2Pi]5. Graph:  r(t)=(e^t(cos(t)))i+(e^t(sin(t)))j+(t^2)k [-Pi/2,Pi/2] with its tangent line at (1,0,0)Any help you could give would be greatly appreciated. Thanks!!!
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